Pj Problems - Overview
The Number Line
7 Spaces Of Interest - Overview
Triadic Unit Mesh
States Of Matter
COHN - Natures Engineering Of The Human Body
The Human-Body Systems
Faith, Love, Charity
Mathematical statements used by mathematicians are usually provable. In other words, the mathematical statement: "volume of a sphere = (4/3)πr3" (where r is the radius of the sphere), has a mathematical proof.
(a)What is a mathematical statement?
(b) What is a mathematical proof?
(c) Explain the truth of A implies B
(d) What is a truth table?
(e) Suppose X makes the following statement to Y: "If it is hot (above 80o F), Maybelline goes braless." What scenario in the illustrated truth table presents X as a liar?
S7P2A21 (Identity - Physical Property).
Pj Problem of Interest is of type identity (physical property). Determining truth is an identity problem.
(a) A mathematical statement is an expression that is either true or false. For example, 0 = 0 and 1 = 0 are both mathematical statements. The former is true while the latter is false. The expression 3n + 2 is not a mathematical statement.
(b) A mathematical proof is a group of truthful mathematical statements that as a whole convincingly establish the truth of a given mathematical statement. For example, the group of mathematical statements that establish that the area of a circle is πr2 is the mathematical proof of the area of a circle.
(c) Given two statements A (the hypothesis) and B (the conclusion) each of which may be either true or false, the truth of A implies B means it is true that if A is true then B is true.
(d) A truth table is a presentation of the possible truth values of the individual statements of a complex statement in order to determine when the complex statement is true
(e) Suppose A is the statement :"when it is hot"
B is the statement:"Maybelline goes braless"
X is presented as a liar if it is hot and Maybelline does not goe braless. In other words, A is true but B is false. So, A implies B is false. Second row of truth table.
The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
Derivation Of The Area Of A Circle, A Sector Of A Circle And A Circular Ring
Derivation Of The Area Of A Trapezoid, A Rectangle And A Triangle
Derivation Of The Area Of An Ellipse
Derivation Of Volume Of A Cylinder
Derivation Of Volume Of A Sphere
Derivation Of Volume Of A Cone
Derivation Of Volume Of A Torus
Derivation Of Volume Of A Paraboloid
Volume Obtained By Revolving The Curve y = x2 About The X Axis
Single Variable Functions
Absolute Value Functions
Equation Of The Ascent Path Of An Airplane
Calculating Capacity Of A Video Adapter Board Memory
Probability Density Functions
Boolean Algebra - Logic Functions
Ordinary Differential Equations (ODEs)
Infinite Sequences And Series
Introduction To Group Theory
Advanced Calculus - Partial Derivatives
Advanced Calculus - General Charateristics Of Partial Differential Equations
Advanced Calculus - Jacobians
Advanced Calculus - Solving PDEs By The Method Of Separation Of Variables
Advanced Calculus - Fourier Series
Advanced Calculus - Multiple Integrals
Production Schedule That Maximizes Profit Given Constraint Equation
Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation
Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions
Derivation Of Heat Equation For A One-Dimensional Heat Flow
The Universe is composed of matter and radiant energy. Matter is any kind of mass-energy that moves with velocities less than the velocity of light. Radiant energy is any kind of mass-energy that moves with the velocity of light.
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
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